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Finding the Third Proportional to 696,727.69 and 1,018,207.69

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Solution

The third proportional to 696,727.69 and 1,018,207.69 is: 1,488,023.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,727.69 : 1,018,207.69 = 1,018,207.69 : x
  2. Step 2: Convert to fraction form
    696,727.69/1,018,207.69 = 1,018,207.69/x
  3. Step 3: Cross multiply
    696,727.69x = 1,018,207.69 × 1,018,207.69
  4. Step 4: Simplify right side
    696,727.69x = 1,036,746,894,884.10
  5. Step 5: Solve for x
    x = 1,036,746,894,884.10/696,727.69
  6. Step 6: Final answer
    x = 1,488,023.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.